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Popular >

integral of (x^7)/2

Solution

\int \frac{x ^{7}}{2} d x

Solution

\frac{x ^{8}}{16} + C

Solution steps

\int \frac{x ^{7}}{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{2} \cdot \int x^{7} d x

Apply the Power Rule

: \frac{x ^{8}}{8}

= \frac{1}{2} \cdot \frac{x ^{8}}{8}

Simplify

\frac{1}{2} \cdot \frac{x ^{8}}{8} : \frac{x ^{8}}{16}

= \frac{x ^{8}}{16}

Add a constant to the solution

= \frac{x ^{8}}{16} + C

Graph

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\int (9 - 4 x)^{8} d x

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\int (1 + \frac{1}{x})^{3} \cdot \frac{1}{x ^{2}} d x

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\int 2 x^{2} - x + 100 d x

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\int \frac{4 x}{( 2 x ^{2} + 3 ) ^{10}} d x

integral of sqrt(1+x^2)integral

1 + x^{2}

Frequently Asked Questions (FAQ)

What is the integral of (x^7)/2 ?
The integral of (x^7)/2 is (x^8)/(16)+C